A Lions type result for a large class of Orlicz-Sobolev space and applications

Abstract

In this paper we prove a Lions type result for a large class of Orlicz-Sobolev space that can be nonreflexive and use this result to show the existence of solution for a large class of quasilinear problem on a nonreflexive Orlicz-Sobolev space.

In this revised version, we change the title of the paper and rewritten the introduction. Moreover, we also change the quasilinear problem studied in the previous version. We would like to point out that there is no mistake in the old version